Find the least number which when divided by 12, 18, 36 and 45 leaves the remainder 8, 14, 32 and 41 respectively.

• 176

• 180

• 178

• 178

12.

a and b are irrational numbers such that a + b = q is a rational number, then a - b is

• always rational

• sometimes rational

• always irrational

• always irrational

The difference between the greatest and least five-digit numbers formed by the digits 2, 5,0, 6, 8 is (repetition of digits are not allowed)

• 69552

• 65925

• 65952

• 65952

If the sum of a number and its reciprocal be 2, then the number is

• 0

• 1

• -1

• -1

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

• 220030

• 22030

• 1220

• 1220

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is

• 6480

• 9680

• 8460

• 8460

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

• 15

• 11

• 17

• 17

The sum of three numbers is 252. If the first number is thrice and the second and third number is two-third of the first, then the second number is

• 41

• 21

• 42

• 42

Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is

• 17

• 15

• 13

• 13

The number which can be written in the form of n(n + 1) (n + 2) where n is a natural number, is

• 7

• 3

• 5

• 5